# QUESTION ONEA simple random sample of size 19 is taken froma Normal population (given below)11.3, 12.0, 10.1, 10.3, 13.5, 10.8, 13.7, 12.8, 11.9, 10.7, 11.0, 11.6, 10.1, 11.7, 10.6,12.0, 11.7, 13.1, 11.3(a) Test (at the 7.25% level) whether there is sufficient evidence to concludethat the true mean is greater than 11.25 using the rejection region approachTest (at the 12.5% level) whether there is sufficient evidence to concludethat the true mean is different than 11.5 using the p-value approach(b) At the 2% level, test whether it is reasonable to believe that the true population variance is larger than 1. Derive the power function. Show yourwork(c) Using R, (show all relevant codes), graph the power function for 0.5 < o2 <3.5. Pretend that the sample size wason the same graph. Based on your graph, which test is "better"? Explainactually 56. Plot this power functionn

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Please, I need a detailed and a step by step solutions to the problem. I don't have a strong background in statistics and I will appreciate it if you could help out. PLEASE DONT FORGET TO ADD ME THE R CODE FOR SUBQUESTION C. Thank you.

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Step 1

Hello, thank you for the question, Part c requires the use of other platform and the solution is too complex for this platform to support it, at the moment. So please find the solution of part a and part b

Step 2

The given data are as follows

Step 3

a) i) Formulation of hypoth...

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